Complex Fourier demodulation approach for the dual rotation polarizer-analyzer polarimeter

Authors

  • J. Cervantes-L. Universidad de Guadalajara
  • G. A. Parra Escamilla Universidad de Guadalajara
  • J. L. Flores Núñez Universidad de Guadalajara
  • D. I. Serrano Garcia Universidad de Guadalajara

DOI:

https://doi.org/10.31349/RevMexFis.69.031301

Keywords:

Polarized Light, Mueller Matrix, Optical Instruments

Abstract

In this research, we propose a demodulation algorithm for the dual rotation polarizer-analyzer polarimeter. The proposal retrieves the partial Mueller matrix from the complex coefficients, theoretically calculated from the Fourier transform of the output intensity. As calibration parameters, the initial orientations of the polarizer-analyzer are used. Experimental results for air and a rotating dichroic film polarizer show our proposal's feasibility.

References

G. van Harten, J. de Boer, J. H. H. Rietjens, A. Di Noia, F. Snik, H. Volten, J. M. Smit, O. P. Hasekamp, J. S. Henzing, and C. U. Keller, "Atmospheric aerosol characterization with a ground-based SPEX spectropolarimetric instrument," Atmospheric Measurement Technology, Vol. 7, 4341–4351 (2014).

D. Li, N. Zeng, D. Zhan, Y. Chen, M. Zeng, and H. Ma, "Differentiation of soot particulates in air using polarized light scattering method," Applied Optics, Vol. 56 (14), 4123-4129 (2017).

J. C. Roger, R. Santer, M. Herman, and J. L. Deuzé, "Polarization of the solar light scattered by the earth-atmosphere system as observed from the U.S. shuttle," Remote Sensing of Environment, Vol. 48 (3), 275-290 (1994).

G. Calvert, J. Lesniak, and M. Honlet, "Applications of modern automated photoelasticity to industrial problems," Insight, Vol. 44 (4), (2002).

C. He, H. He, J. Chang, B. Chen, H. Ma, and M. J. Booth, "Polarization optics for biomedical and clinical applications: a review," Light: Science & Applications, 194 (2021).

H. Afsharan, M. J. Hackmann, Q. Wang, F. Navaeipour, S. V. K. Jayasree, R. J. Zawadzki, D. Silva, C. Joo, and B. Cense, "Polarization properties of retinal blood vessel walls measured with polarization sensitive optical coherence tomography," Biomedical Optics Express 12, 4340-4362 (2021)

I. Meglinski, T. Novikova, and K. Dholakia, "Polarization and Orbital Angular Momentum of Light in Biomedical Applications: feature issue introduction," Biomedical Optics Express 12, 6255-6258 (2021)

R.M.A. Azzam, "Photopolarimetric measurement of the Mueller matrix by Fourier analysis of a single detected signal," Optics Letters, Vol. 2 (6), 148–150 (1978).

D. H. Goldstein, "Mueller matrix dual-rotating retarder polarimeter," Applied Optics, Vol. 31(31), 6676–6683 (1992).

E. Compain and B. Drevillon, "Complete high-frequency measurement of Mueller matrices based on a new coupled-phase modulator," Review of Scientific Instruments, Vol. 68 (7), 2671–2680 (1997).

E. G. Caurel, A.D. Martino and B. Drevillon, "Spectroscopic Mueller polarimeter based on liquid crystal devices," Thin Solid Films, Vol. 455, 120–123 (2004).

B. L. Boulesteix, A.D. Martino, B. Drévillon and L. Schwartz, "Mueller polarimetric imaging system with liquid crystals," Applied Optics, Vol. 43 (14), 2824–2832 (2004).

D.H. Goldstein and R.A. Chipman, "Error analysis of a Mueller matrix polarimeter," Journal of the Optical Society of America A, Vol. 7 (4), 693–700 (1990).

K. Bhattacharyya, D. I. Serrano-García, and Y. Otani, "Accuracy enhancement of dual rotating Mueller matrix imaging polarimeter by diattenuation and retardance error calibration approach," Optics Communications, Vol. 392, 48-53 (2017).

K. M. Twietmeyer, and R.A. Chipman, "Optimization of Mueller matrix polarimeters in the presence of error sources," Optics Express, Vol. 16 (15), 11589–11603 (2008).

S. Y. Lu and R.A. Chipman, "Interpretation of Mueller matrices based on polar decomposition," Journal of the Optical Society of America A, Vol. 13 (5), 1106–1113 (1996).

D. Goldstein, "Polarized Light," Marcel Dekker, Inc., (2003).

R. A. Chipman, "Chapter 22 - Polarimetry" in Handbook of Optics, McGraw-Hill Professional (1995).

R.M.A. Azzam, "A simple Fourier photopolarimeter with rotating polarizer and analyzer for measuring Jones and Mueller matrices," Optics Communications, Vol. 25 (2), 137-140 (1978).

M. Gilliot and A.E. Naciri, "Theory of dual-rotating polarizer and analyzer ellipsometer," Thin Solid Films, Vol. 540, 46-52 (2013).

Taher M. El-Agez, and Sofyan Taya, "Development and construction of rotating polarizer analyzer ellipsometer," Optics and Lasers in Engineering, Vol.49 (4), 507-513 (2011).

Sofyan Taya, and Taher M El-Agez, "Effect of noise on the optical parameters extracted from different ellipsometric configurations," Physica Scripta, Vol. 85(4), 45706 (2012).

G.Q. Xia, R.J. Zhang, Y.L. Chen, H.B. Zhao, S.Y. Wang, S.M. Zhou, Y.X. Zheng, Y.M. Yang, and L.Y. Chen, "New design of the variable angle infrared spectroscopic ellipsometer using double Fourier transforms," Review of Scientific Instruments, Vol. 71(7), 2677 (2000).

S. Y. Berezhna, I. V. Berezhnyy, and M. Takashi, "Dynamic photometric imaging polarizer-sample-analyzer polarimeter: instrument for mapping birefringence and optical rotation," Journal of the Optical Society of America A, Vol. 18(3), 666-672 (2001).

S. Y. Berezhna, I. V. Berezhnyy, and M. Takashi, "Integrated photoelasticity through imaging Fourier polarimetry of an elliptic retarder," Applied Optics, Vol. 40(5), 644-651 (2001).

S. Y. Berezhna, I. V. Berezhnyy, and M. Takashi, "High-resolution birefringence imaging in three-dimensional stressed models by Fourier polarimetry," Applied Optics, Vol. 40(28), 4940-4946 (2001).

Downloads

Published

2023-05-01

How to Cite

[1]
J. Cervantes-L., G. A. Parra Escamilla, J. L. Flores Núñez, and D. I. Serrano Garcia, “Complex Fourier demodulation approach for the dual rotation polarizer-analyzer polarimeter”, Rev. Mex. Fís., vol. 69, no. 3 May-Jun, pp. 031301 1–, May 2023.